7.2.3 Digital Geometry

Chapter Contents (Back)
Discrete Topology. Digital Geometry.

Johnston, E.G., Rosenfeld, A.,
Geometrical Operations on Digitized Pictures,
PPP70(xx), 1970. BibRef 7000

Rosenfeld, A.,
A Note on Perimeter and Diameter in Digital Pictures,
InfoControl(24), No. 4, April 1974, pp. 384-388. BibRef 7404

Rosenfeld, A.,
Compact Figures in Digital Pictures,
SMC(4), 1974, pp. 221-223. BibRef 7400

Rosenfeld, A.,
A Converse to the Jordan Curve Theorem for Digital Curves,
InfoControl(29), No. 3, November 1975, pp. 292-293. BibRef 7511

Rosenfeld, A.,
Geodesics in Digital Pictures,
InfoControl(36), No. 1, January 1978, pp. 74-84. BibRef 7801

Rosenfeld, A.,
Clusters in Digital Pictures,
InfoControl(39), No. 1, October 1978, pp. 19-34. BibRef 7810

Pavlidis, T.,
Filling Algorithms for Raster Graphics,
CGIP(10), No. 2, June 1979, pp. 126-141.
WWW Version. BibRef 7906

Davis, L.S., Benedikt, M.L.,
Computational Models of Space: Isovists and Isovist Fields,
CGIP(11), No. 1, September 1979, pp. 49-72.
WWW Version. BibRef 7909

Kim, C.E.,
Digital Disks,
PAMI(6), No. 3, May, 1984, pp. 372-374. BibRef 8405

Bennett, J.R., MacDonald, J.S.,
On the Measurement of Curvature in a Quantized Environment,
TC(24), 1975, pp. 803-820. BibRef 7500

Eccles, M.J., McQueen, M.P.C., Rosen, D.,
Analysis of the Digitized Boundaries of Planar Objects,
PR(9), No. 1, January 1977, pp. 31-41.
WWW Version. BibRef 7701

Jagoe, R., Paton, K.,
Generalized Counting in digital Pictures,
CGIP(7), No. 1, February 1978, pp. 52-66.
WWW Version. BibRef 7802

Wiejak, J.S.,
Region Digitization and Boundary Estimation,
IVC(1), No. 2, May 1983, pp. 99-102.
WWW Version. BibRef 8305

Melter, R.A., and Tomescu, I.,
Metric Bases in Digital Geometry,
CVGIP(25), No. 1, January 1984, pp. 113-121.
WWW Version. BibRef 8401

Harary, F., Melter, R.A., and Tomescu, I.,
Digital Metrics: A Graph-Theoretical Approach,
PRL(2), 1984, pp. 159-163. BibRef 8400

Medek, V.,
Culling Hidden Edges of Rectangular Parallelpipeds,
CVGIP(28), No. 2, November 1984, pp. 263-268.
WWW Version. BibRef 8411

Kanatani, K.,
Constraints on Length and Angle,
CVGIP(41), No. 1, January 1988, pp. 28-42.
WWW Version. BibRef 8801

Sarnak, N., and Tarjan, R.E.,
Planar Point Location Using Persistent Search Trees,
CACM(29), No. 7, July 1986, pp. 669-679. BibRef 8607

Rueb, K.D., and Wong, A.K.C.,
Structuring Free Space as a Hypergraph for Roving Robot Path Planning and Navigation,
PAMI(9), No. 2, March 1987, pp. 263-273. BibRef 8703

Toussaint, G.T.[Godfried T.],
The Relative Neighbourhood Graph of a Finite Planar Set,
PR(12), No. 4, 1980, pp. 261-268.
WWW Version. 0309
BibRef

Houle, M.E., and Toussaint, G.T.,
Computing the Width of a Set,
PAMI(10), No. 5, September 1988, pp. 761-765.
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 8809

Bogomolny, A.,
Digital Geometry May Not Be Discrete,
CVGIP(43), No. 2, August 1988, pp. 205-220. image part number.
WWW Version. BibRef 8808

Wolfson, E., and Schwartz, E.L.,
Computing Minimal Distance on Polyhedral Surfaces,
PAMI(11), No. 9, September 1989, pp. 1001-1005.
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 8909

Schwartz, E.L., Shaw, A., and Wolfson, E.,
A Numerical Solution to the Generalized Mapmaker's Problem: Flattening Nonconvex Polyhedral Surfaces,
PAMI(11), No. 9, September 1989, pp. 1005-1008.
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 8909

Ansari, N., Delp, E.J.,
On the Distribution of a Deforming Triangle,
PR(23), No. 12, 1990, pp. 1333-1341.
WWW Version. BibRef 9000

Nakamura, A.,
Continuous-Functions on Fuzzy Digital Pictures,
PRL(17), No. 5, May 1 1996, pp. 557-563. 9606
BibRef

Zunic, J.,
A Representation of Digital Hyperbolas Y=1/X Alpha+Beta,
PRL(17), No. 9, August 1 1996, pp. 975-983. 9609
BibRef

Rosenfeld, A., Haber, S.,
The Perimeter of a Fuzzy Set,
PR(18), No. 2, 1985, pp. 125-130.
WWW Version. BibRef 8500
Earlier: PR(17), No. 6, 1984, pp. Page 678.
WWW Version. BibRef

Rosenfeld, A., Klette, R.,
Degree of Adjacency or Surroundedness,
PR(18), No. 2, 1985, pp. 169-177.
WWW Version. BibRef 8500
Earlier: PR(17), No. 6, 1984, pp. Page 678.
WWW Version. BibRef

Ching, Y.T., Lee, D.T.,
Finding the Diameter of a Set of Lines,
PR(18), No. 3-4, 1985, pp. 249-255.
WWW Version. BibRef 8500

Rosenfeld, A.,
Fuzzy Plane Geometry: Triangles,
PRL(15), 1994, pp. 1261-1264. BibRef 9400

Kulkarni, S.R., Mitter, S.K., Richardson, T.J., Tsitsiklis, J.N.,
Local Versus Nonlocal Computation of Length of Digitized-Curves,
PAMI(16), No. 7, July 1994, pp. 711-718.
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9407

Maio, D., Maltoni, D., and Razzi, S.,
Topological Clustering of Maps Using a Genetic Algorithm,
PRL(16), 1995, pp. 89-96. BibRef 9500

Rosenfeld, A.,
Geometric Properties of Sets of Lines,
PRL(16), 1995, pp. 549-556. BibRef 9500

Veelaert, P.[Peter],
Periodic Differences of Digitized Curves,
PRL(14), 1993, pp. 169-172. BibRef 9300

Veelaert, P.[Peter],
Selecting Appropriate Difference Operators for Digital Images by Local Feature Detection,
JEI(6), No. 4, October 1997, pp. 415-425. 9807
BibRef

Veelaert, P.[Peter], Teelen, K.[Kristof],
Adaptive and optimal difference operators in image processing,
PR(42), No. 10, October 2009, pp. 2317-2326.
Elsevier DOI Link
WWW Version. 0906
BibRef
Earlier:
Optimal Difference Operator Selection,
DGCI08(xx-yy).
Springer DOI Link 0804
Difference operator; Grobner basis; Local feature detector; Tangent; Laplacian BibRef

Cimikowski, R.J.,
Properties of Some Euclidean Proximity Graphs,
PRL(13), 1992, pp. 417-423. BibRef 9200

Rhodes, F.,
Discrete Euclidean Metrics,
PRL(13), 1992, pp. 623-628. BibRef 9200

Parui, S.K.,
Some Geometric Operations on Binary Pictures and Their Shape Preserving Properties,
PRL(11), 1990, pp. 355-361. BibRef 9000
Earlier:
Shape preserving properties of some operations on binary pictures,
ICPR88(II: 773-775).
IEEE DOI Link 8811
BibRef

van Vliet, L.J., Verwer, B.J.H.,
A Contour Processing Method for Fast Binary Neighbourhood Operations,
PRL(7), 1988, pp. 27-36. BibRef 8800

Rosenfeld, A.,
'Continuous' Functions on Digital Pictures,
PRL(4), 1986, pp. 177-184. BibRef 8600

Melter, R.A.,
You Can (Sometimes) Tell an Image by Its Cover,
PRL(3), 1985, pp. 59-64. BibRef 8500

Rosenfeld, A.,
The Fuzzy Geometry Of Image Subsets,
PRL(2), 1984, pp. 311-317. BibRef 8400

Dyer, C.R., and Rosenfeld, A.,
Parallel Image Processing by Memory-Augmented Cellular Automata,
PAMI(3), No. 1, January 1981, pp. 29-41. Cellular Automata. BibRef 8101

Dyer, C.R.[Charles R.], Rosenfeld, A.,
Triangle Cellular Automata,
InfoControl(48), No. 1, January 1981, pp. 54-69. BibRef 8101

Latecki, L.J., Eckhardt, U., Rosenfeld, A.,
Well-Composed Sets,
CVIU(61), No. 1, January 1995, pp. 70-83.
WWW Version. See also 3D Well-Composed Pictures. BibRef 9501

Latecki, L.J., Prokop, F.,
Semi-Proximity Continuous-Functions in Digital Images,
PRL(16), No. 11, November 1995, pp. 1175-1187. BibRef 9511

Latecki, L.J., Rosenfeld, A.,
Supportedness and Tameness Differentialless Geometry of Plane-Curves,
PR(31), No. 5, May 1998, pp. 607-622.
WWW Version. 9805
BibRef

Giraldo, A.[Antonio], Gross, A.[Ari], Latecki, L.J.[Longin Jan],
Digitizations preserving shape,
PR(32), No. 3, March 1999, pp. 365-376.
WWW Version. BibRef 9903

Rieger, J.H.,
Topographical Properties of Generic Images,
IJCV(23), No. 1, May 1997, pp. 79-92.
WWW Version. 9708
BibRef

Kenmochi, Y.[Yukiko], Imiya, A., Ichikawa, A.,
Discrete Combinatorial Geometry,
PR(30), No. 10, October 1997, pp. 1719-1728.
WWW Version. 9712
BibRef

Daragon, X.[Xavier], Couprie, M.[Michel], Bertrand, G.[Gilles],
Discrete Surfaces and Frontier Orders,
JMIV(23), No. 3, November 2005, pp. 379-399.
Springer DOI Link 0510
BibRef

Couprie, M.[Michel], Bertrand, G.[Gilles], Kenmochi, Y.[Yukiko],
Discretization in 2D and 3D orders,
GM(65), No. 1-3, May 2003, pp. 77-91.
WWW Version. 0309
BibRef

Kenmochi, Y.[Yukiko], Imiya, A.[Atsushi],
Combinatorial boundary of a 3D lattice point set,
JVCIR(17), No. 4, August 2006, pp. 738-766.
WWW Version. 0711
Boundary extraction; Combinatorial surface; Polyhedral complex BibRef

Kenmochi, Y.[Yukiko], Nomura, Y.[Yusuke],
Local configurations in discrete combinatorial surfaces,
IVC(25), No. 10, 1 October 2007, pp. 1657-1670.
WWW Version. 0709
Discrete surface; Local configurations; Polyhedral complex BibRef

Mecke, J.,
On the relationship between the 0-cell and the typical cell of a stationary random tessellation,
PR(32), No. 9, September 1999, pp. 1645-1648.
WWW Version. BibRef 9909

Worboys, M.[Michael],
Imprecision in Finite Resolution Spatial Data,
GeoInfo(2), No. 3, October 1998, pp. 257-279.
WWW Version. BibRef 9810

Holbling, W.[Werner], Kuhn, W.[Werner], Frank, A.U.[Andrew U.],
Finite-Resolution Simplicial Complexes,
GeoInfo(2), No. 3, October 1998, pp. 281-298.
WWW Version. BibRef 9810

Bykov, A.I.[Alexander I.], Zerkalov, L.G.[Leonid G.], Pineda, M.A.R.[Mario A. Rodríguez],
Index of a point of 3-D digital binary image and algorithm for computing its Euler characteristic,
PR(32), No. 5, May 1999, pp. 845-850.
WWW Version. BibRef 9905

van Lieshout, M.N.M.,
Size-biased random closed sets,
PR(32), No. 9, September 1999, pp. 1631-1644.
WWW Version. BibRef 9909

Brass, P.[Peter],
On strongly normal tesselations,
PRL(20), No. 8, August 1999, pp. 957-960. BibRef 9908

Kendall, W.S.[Wilfrid S.], Thoennes, E.[Elke],
Perfect simulation in stochastic geometry,
PR(32), No. 9, September 1999, pp. 1569-1586.
WWW Version. BibRef 9909

Rosenfeld, A.[Azriel], Saha, P.K.[Punam K.], Nakamura, A.[Akira],
Interchangeable pairs of pixels in two-valued digital images,
PR(34), No. 9, September 2001, pp. 1853-1865.
WWW Version. 0108
BibRef

Kong, T.Y.[T. Yung], Saha, P.K.[Punam Kumar], Rosenfeld, A.[Azriel],
Strongly normal sets of contractible tiles in N dimensions,
PR(40), No. 2, February 2007, pp. 530-543.
WWW Version. 0611
Strongly normal; n-Dimensional; Contractible; Shared subset BibRef

Saha, P.K.[Punam K.], Kong, T.Y.[T. Yung], Rosenfeld, A.[Azriel],
Strongly Normal Sets of Tiles in N Dimensions,
UMD--TR4242, April 2001.
WWW Version.
WWW Version. Tiles, generalizations of pixels. BibRef 0104

Rosenfeld, A.[Azriel], Saha, P.K.[Punam K.],
Interchangeable Pairs of Pixels in Digital Images,
UMD--TR4057, September 1999.
WWW Version.
WWW Version. Topology of binary images (2 valued) where pixel values are interchanged. BibRef 9909

Klette, R.[Reinhard],
Digital Geometry: The Birth of a New Discipline,
FIU01(Chapter 2). BibRef 0100

Ronse, C.[Christian], Tajine, M.[Mohamed],
Discretization in Hausdorff Space,
JMIV(12), No. 3, June 2000, pp. 219-242.
WWW Version. 0003
BibRef

Ronse, C.[Christian], Tajine, M.[Mohamed],
Hausdorff Discretization for Cellular Distances and Its Relation to Cover and Supercover Discretizations,
JVCIR(12), No. 2, June 2001, pp. 169-200.
WWW Version. 0201
BibRef

Tajine, M.[Mohamed],
Digital Segments and Hausdorff Discretization,
IWCIA08(xx-yy).
Springer DOI Link 0804
BibRef

Mercer, R.E., Barron, J.L., Bruen, A.A., Cheng, D.,
Fuzzy points: algebra and application,
PR(35), No. 5, May 2002, pp. 1153-1166.
WWW Version. 0202
BibRef

Udupa, J.K.[Jayaram K.], Grevera, G.J.[George J.],
Go digital, go fuzzy,
PRL(23), No. 6, April 2002, pp. 743-754.
HTML Version. 0202
BibRef

Borgefors, G.[Gunilla], Nyström, I.[Ingela], Sanniti di Baja, G.[Gabriella],
Special Issue: Discrete Geometry for Computer Imagery,
PRL(23), No. 6, April 2002, pp. 621.
HTML Version. 0202
BibRef

Nyström, I.[Ingela], Sanniti di Baja, G.[Gabriella], Svensson, S.[Stina],
Discrete Geometry for Computer Imagery Introduction,
IVC(23), No. 2, 1 February 2004, pp. 87-88.
WWW Version. 0412
BibRef

Grossmann, R.[Ruth], Kiryati, N.[Nahum], Kimmel, R.[Ron],
Computational Surface Flattening: A Voxel-Based Approach,
PAMI(24), No. 4, April 2002, pp. 433-441.
IEEE Abstract. IEEE Top Reference.
WWW Version. 0204
BibRef
Earlier: VF01(196-204).
HTML Version. Turning a voxel surface into 2-D. Use to map 2-D textures onto the surface. Also related cortex analysis papers. See also Estimating Shortest Paths and Minimal Distances on Digitized Three-Dimensional Surfaces. See also Length Estimation in 3-D Using Cube Quantization. BibRef

Hajdu, A.[András],
Geometry of neighbourhood sequences,
PRL(24), No. 15, November 2003, pp. 2597-2606.
WWW Version. 0308
Generalize results of ( See also Octagonal Distances For Digital Pictures. ) about geometric properties of two-dimensional periodic neighbourhood sequences. BibRef

Fazekas, A.[Attila], Hajdu, A.[András], Hajdu, L.[Lajos],
Metrical neighborhood sequences in Zn,
PRL(26), No. 13, 1 October 2005, pp. 2022-2032.
WWW Version. 0509
BibRef

Hajdu, A., Nagy, B., Zorgo, Z.,
Indexing and segmenting colour images using neighbourhood sequences,
ICIP03(I: 957-960).
IEEE Abstract. IEEE Top Reference. 0312
BibRef

Fazekas, A., Hajdu, A., Sánta, I., Tóth, T.,
Neighborhood Sequences and Their Applications in the Digital Image Processing,
CAIP05(766).
Springer DOI Link 0509
See also Skeletonization Based on Metrical Neighborhood Sequences. BibRef

Hajdu, A.[Andras], Toth, T.[Tamas],
Approximating non-metrical Minkowski distances in 2D,
PRL(29), No. 6, 15 April 2008, pp. 813-821.
WWW Version. 0803
Minkowski distance; Discrete approximation; Neighborhood sequence; Chamfering; Geometry BibRef

Lachaud, J.O.[Jacques-Olivier], Vialard, A.[Anne],
10th International Conference on Discrete Geometry for Computer Imagery: Discrete topology and geometry for image and object representation,
GM(65), No. 1-3, May 2003, pp. Page 1.
WWW Version. 0309
Overview of issue. BibRef

Coeurjolly, D.[David], Miguet, S., Tougne, L.,
2D and 3D Visibility in Discrete Geometry: An Application to Discrete Geodesic Paths,
PRL(25), No. 5, 5 April 2004, pp. 561-570.
WWW Version. 0403
BibRef

Ricard, J., Coeurjolly, D., Baskurt, A.[Atilla],
Generalization of angular radial transform,
ICIP04(IV: 2211-2214).
IEEE DOI Link 0505
BibRef

Zunic, J.[Jovisa],
On the Number of Digital Discs,
JMIV(21), No. 3, November 2004, pp. 199-204.
WWW Version. 0410
Disc is a set of N integer points inside a real disc. BibRef

Huxley, M.N.[Martin N.], Žunic, J.[Joviša],
The Number of N-Point Digital Discs,
PAMI(29), No. 1, January 2007, pp. 159-161.
IEEE DOI Link 0701
BibRef
Earlier:
On the Number of Digitizations of a Disc Depending on Its Position,
IWCIA04(219-231).
WWW Version. 0505
Refine the upper bound on the number. BibRef

di Mambro, E.[Emmanuel], Haďdar, R.[Riad], Guérineau, N.[Nicolas], Primot, J.[Jérôme],
Sharpness limitations in the projection of thin lines by use of the Talbot experiment,
JOSA-A(21), No. 12, December 2004, pp. 2276-2282.
WWW Version. 0501
BibRef

Pavlidis, T.[Theo],
Discrete geometry and Azriel Rosenfeld,
PRL(26), No. 3, February 2005, pp. 235-238.
WWW Version. 0501
BibRef

Xu, D., Do, M.N.,
On the Number of Rectangular Tilings,
IP(15), No. 10, October 2006, pp. 3225-3230.
IEEE DOI Link 0609
BibRef

Li, F.J.[Fa-Jie], Klette, R.[Reinhard],
Analysis of the rubberband algorithm,
IVC(25), No. 10, 1 October 2007, pp. 1588-1598.
WWW Version. 0709
BibRef
And:
Euclidean Shortest Paths in Simple Cube Curves at a Glance,
CAIP07(661-668).
Springer DOI Link 0708
BibRef
Earlier:
Finding the Shortest Path Between Two Points in a Simple Polygon by Applying a Rubberband Algorithm,
PSIVT06(280-291).
Springer DOI Link 0612
BibRef
Earlier:
Shortest Paths in a Cuboidal World,
IWCIA06(415-429).
Springer DOI Link 0606
Digital geometry; Shortest Euclidean path; Cube-curves; Minimum-length polygonal curve BibRef

Li, F.J.[Fa-Jie], Klette, R.[Reinhard],
Calculating the Number of Tunnels,
CIARP08(421-428).
Springer DOI Link 0809
BibRef

Li, F.J.[Fa-Jie], Klette, R.[Reinhard], Fu, X.[Xue],
Approximate ESPs on Surfaces of Polytopes Using a Rubberband Algorithm,
PSIVT07(236-247).
Springer DOI Link 0712
Euclidean shortest path. BibRef

Deng, M.[Min], Cheng, T.[Tao], Chen, X.Y.[Xiao-Yong], Li, Z.L.[Zhi-Lin],
Multi-level Topological Relations Between Spatial Regions Based Upon Topological Invariants,
GeoInfo(11), No. 2, June 2007, pp. 239-267.
Springer DOI Link 0709
BibRef

Deng, M.[Min], Li, Z.L.[Zhi-Lin],
A Statistical Model for Directional Relations Between Spatial Objects,
GeoInfo(12), No. 2, June 2008, pp. xx-yy.
Springer DOI Link 0804
BibRef

Suhadolnik, A.[Alojz], Petrisic, J.[Joze], Kosel, F.[Franc],
Numerical calculation of digital curve length by using anchored discrete convolution,
IVC(26), No. 7, 2 July 2008, pp. 990-999.
WWW Version. 0804
Digital curve; Curve length; Anchored discrete convolution; Digital image BibRef

Skala, V.[Vaclav],
Length, Area And Volume Computation In Homogeneous Coordinates,
IJIG(6), No. 4, October 2006, pp. 625-639. 0610
BibRef

Skala, V.[Vaclav],
Intersection Computation In Projective Space Using Homogeneous Coordinates,
IJIG(8), No. 4, October 2008, pp. 615-628. 0804
BibRef

Balasubramanian, M.[Mukund], Polimeni, J.R.[Jonathan R.], Schwartz, E.L.[Eric L.],
Exact Geodesics and Shortest Paths on Polyhedral Surfaces,
PAMI(31), No. 6, June 2009, pp. 1006-1016.
IEEE DOI Link 0904
Computing distances along convex and non-convex polyhedral surfaces. Either exact minimal-geodesic paths or shortest paths. Runtime is Cubic or less. Apply to mesh generation for brain data. BibRef

Gerard, Y.[Yan], Coeurjolly, D.[David], Feschet, F.[Fabien],
Gift-Wrapping Based Preimage Computation Algorithm,
PR(42), No. 10, October 2009, pp. 2255-2264.
Elsevier DOI Link
WWW Version. 0906
BibRef
Earlier: A1, A3, A2: DGCI08(xx-yy).
Springer DOI Link 0804
Digital geometry; Convex hull; Gift-wrapping; Visibility cone; Chords set BibRef

Gerard, Y.[Yan],
Reconstructing a Matrix with a Given List of Coefficients and Prescribed Row and Column Sums Is NP-Hard,
IWCIA08(xx-yy).
Springer DOI Link 0804
BibRef

Faure, A.[Alexandre], Buzer, L.[Lilian], Feschet, F.[Fabien],
Tangential Cover for Thick Digital Curves,
PR(42), No. 10, October 2009, pp. 2279-2287.
Elsevier DOI Link
WWW Version. 0906
BibRef
Earlier: A1, A3, Only: DGCI08(xx-yy).
Springer DOI Link 0804
Digital geometry; Tangential cover; Digital segments; Alpha-thickness; Convex hull; Thick digital curves BibRef

Faure, A.[Alexandre], Feschet, F.[Fabien],
Robust Decomposition of Thick Digital Shapes,
IWCIA08(xx-yy).
Springer DOI Link 0804
BibRef

Feschet, F.[Fabien],
The lattice width and quasi-straightness in digital spaces,
ICPR08(1-4).
IEEE DOI Link 0812
BibRef
Earlier:
The Exact Lattice Width of Planar Sets and Minimal Arithmetical Thickness,
IWCIA06(25-33).
Springer DOI Link 0606
BibRef

Chollet, A., Wallet, G., Fuchs, L., Largeteau-Skapin, G.[Gaëlle], Andres, É.[Éric],
Insight in discrete geometry and computational content of a discrete model of the continuum,
PR(42), No. 10, October 2009, pp. 2220-2228.
Elsevier DOI Link
WWW Version. 0906
Discrete geometry; Nonstandard analysis; Arithmetization; Constructive mathematics BibRef


Said, M.[Mouhammad], Lachaud, J.O.[Jacques-Olivier], Feschet, F.[Fabien],
Multiscale Discrete Geometry,
DGCI09(118-131).
Springer DOI Link 0909
BibRef

Kock, A.[Anders],
Affine Connections, and Midpoint Formation,
DGCI09(13-21).
Springer DOI Link 0909
Synthetic differential geometry. BibRef

Chen, L.[Li], Rong, Y.[Yongwu],
Linear time recognition algorithms for topological invariants in 3D,
ICPR08(1-4).
IEEE DOI Link 0812
BibRef

Escribano, C.[Carmen], Giraldo, A.[Antonio], Sastre, M.A.[María Asunción],
Digitally Continuous Multivalued Functions,
DGCI08(xx-yy).
Springer DOI Link 0804
See also Thinning Algorithms as Multivalued NN -Retractions. BibRef

Guru, D.S., Prakash, H.N., Vikram, T.N.,
Spatial Topology of Equitemporal Points on Signatures for Retrieval,
PReMI07(128-135).
Springer DOI Link 0712
BibRef

Fabbri, R.[Ricardo], Kimia, B.B.[Benjamin B.],
High-Order Differential Geometry of Curves for Multiview Reconstruction and Matching,
EMMCVPR05(645-660).
Springer DOI Link 0601
BibRef

Herley, C.,
Efficient inscribing of noisy rectangular objects in scanned images,
ICIP04(IV: 2399-2402).
IEEE DOI Link 0505
BibRef

Nouvel, B.[Bertrand],
Self-similar Discrete Rotation Configurations and Interlaced Sturmian Words,
DGCI08(xx-yy).
Springer DOI Link 0804
BibRef

Nouvel, B.[Bertrand], Rémila, É.[Éric],
Incremental and Transitive Discrete Rotations,
IWCIA06(199-213).
Springer DOI Link 0606
BibRef
Earlier:
Characterization of Bijective Discretized Rotations,
IWCIA04(248-259).
WWW Version. 0505
BibRef

Malandain, G.[Gregoire], Boissonnat, J.D.[Jean-Danie],
Computing the Diameter of a Point Set,
INRIARR-4233, July 2001.
HTML Version. 0211
BibRef

Chassery, J.M., Dupont, F., Sivignon, I., Vittone, J.,
Digital geometry fundaments: application to plane recognition,
CIAP01(622-636).
IEEE Top Reference. 0210
BibRef

Klette, R.[Reinhard], Zunic, J.[Jovisa],
Multigrid Error Bounds for Moments of Arbitrary Order,
ICPR00(Vol III: 782-785).
IEEE DOI Link
HTML Version. 0009
Errors for quantization errors in computing moments. BibRef

Khuller, S.[Samir], Rosenfeld, A.[Azriel], and Wu, A.[Angela],
Centers of Pixels,
UMD--TR3866, January 1998.
WWW Version.
WWW Version. BibRef 9801

Wagner, D.[Daniel],
Distance de Hausdorff et probleme discret-continu,
MastersThesis (in French), 1997. Universite Louis Pasteur.
Postscript Version. BibRef 9700

Baratoff, G.[Gregory],
Distortions of stereoscopic visual space and quadratic Cremona transformations,
CAIP97(239-246).
WWW Version. 9709
BibRef

Leite, J.A.F.[José A. F.], Hancock, E.R.[Edwin R.],
A linear discriminator of width,
CIAP95(477-482).
Springer DOI Link 9509
BibRef

Chapter on 2-D Feature Analysis, Extraction and Representations, Shape, Skeletons, Texture continues in
Digital Geometry -- Lines, Curves and Contours .


Last update:Nov 16, 2009 at 19:35:14